Here is a puzzle: □ + 5 = 12. The box is hiding a number. What number do you think is hiding in the box to make both sides equal?
Display the sentence and give five seconds of quiet think-time before any hands go up. Take three hands-up answers, not open call-outs. Don't confirm right or wrong yet — hold the reveal for Watch and Notice.
Watch the balance beam. A box hides a number, and the beam only stays level when the box holds the right value. To find the box, we do the opposite of what is beside it. Whisper your prediction for each beam, then check that it is level.
Each beam: name the opposite move aloud, then substitute the value so the class sees it level. Take one or two hands-up predictions before each reveal.
□ + 5 = 12: 5 added, so take 5 off 12, box is 7.
□ − 3 = 4: 3 taken off, so add 3 back, put 4 and 3 on the other pan so the box levels at 7. Watch pupils who guess 1, box is bigger than 4 here.
9 = □ + 2: box jumped to the right, same opposite move — 9 − 2, box is 7.
6 + □ = 15: box in the middle now — 15 − 6, box is 9.
12 = 5 + □: the take-away shape the challenge uses — box fills the gap between 5 and 12, box is 7.
□ + 3 = 4 + 6: two numbers on the far side — add them first (4 + 6 = 10), then find the box, box is 7.
Remember to do the opposite of the number beside the box. For □ − 2 = 6 the box must be bigger than 6, because 2 is taken away from it.
We start on the balance beam with □ + 4 = 11. Set the box until the beam levels, then read off what the box holds. Then we talk through the next ones together: □ − 2 = 6, then 8 = □ + 3, then 10 + □ = 17.
Talk this one through together — pupils take turns at the board and the class agrees or corrects out loud.
A pupil sets the box on the beam for □ + 4 = 11 until it levels, then reads the box value. Put the value back into the sentence aloud (4 add 4 is 8… no, we need 11, try again) so the class hears the checking habit. Talk through the other three as number sentences only (the pinned beam cannot show take-away). The □ − 2 = 6 one is the trap: the box must be bigger than 6, not smaller.
In your maths copy, solve these four sentences and write the value of the box for each one:
Then check each one by writing out the whole sentence with your number in place of the box, and read it back to yourself.
Walk the room glancing for the check-line — this is whole-class copybook practice, not marking. Watch for pupils writing 4 for the second one; the check-back (4 − 2 = 2, not 6) is what catches it.
When two boxes sit on the same side and hold the same number, the total splits into two equal parts. For □ + □ = 16, half of 16 is 8, so each box is 8. Check: 8 + 8 = 16.
First we walk one new shape together on the board: □ + □ = 16. Both boxes match, so we halve the total to find one box, then put 8 back in to check. After that it is your turn on the beam. Set the box, press Check, and we confirm each one before moving on. First is □ + 6 = 14. Then comes 20 = 13 + □, where the box fills the gap. Next is the twin-box one, □ + □ = 16. Last is □ + 7 = 5 + 9, so work out the far side first, then find the box.
Before anyone touches the interactive, teach the twin-box case once on the board.
□ + □ = 16: both boxes hold the same number, so split 16 into two equal parts, 8 and 8. Write 8 + 8 = 16 and read it back. Slip to watch: pupils who say 16 (one box takes the whole total) or 15 (counting on by one twice).
Then run the challenge briskly, pupils take turns, class confirms each Check. 20 = 13 + □ is the take-away shape from Watch and Notice, ask what fills the gap between 13 and 20. Twin-box item should now echo the board demo. Last one: add the far side first (5 + 9 = 14) before touching the box.
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